Khalifa University beamer theme (2018)
Author
Andrei Sleptchenko
License
Creative Commons CC BY 4.0
Abstract
This is a beamer template according to the new KU branding style
This is a beamer template according to the new KU branding style
\documentclass[t, 10pt, handout, aspectratio=169]{beamer}
\usepackage{lipsum}
\usepackage{tikz}
\usepackage{pgfplots, pgfplotstable}
\usepackage{booktabs}
\pgfplotsset{compat=1.14}
%\usetheme[framenumber,totalframenumber]{QU}
\usetheme[color=blue,framenumber,totalframenumber, footline, footertext]{KU}
\title[Khalifa University \texttt{beamer} theme]{Some slides with a Khalifa University \texttt{beamer} theme}
\subtitle{This is a dummy subtitle}
\author[A.Sleptchenko]{Andrei Sleptchenko}
\institute[KU]{Khalifa University}
\footertext{\copyright The author} %A.Sleptchenko \quad andrei.sleptchenko@ku.ac.ae \quad Industrial \& System Engineering}
\date[10/07/2018]{10 July 2018}
\begin{document}
\begin{frame}
\titlepage
\end{frame}
%\begin{frame}
% \titlepage
%\end{frame}
%
\section{My section}
\subsection{My subsection}
\begin{frame}
\frametitle{A first test frame}
%\includeimage{}
\lipsum[2]
\end{frame}
\begin{frame}{A test frame}{with a subtitle}
%\includeimage{}
\lipsum[2]
\end{frame}
\begin{frame}
\frametitle{Test frame with overflow}
\lipsum[2-3]
\end{frame}
\begin{frame}
\frametitle{The is a test frame with a pretty long frame title}
\lipsum[2]
\end{frame}
\subsection{My subsection 2}
\begin{frame}
\frametitle{Test frame with itemize}
\begin{itemize}
\item<1-> firstly
\item<2-> secondly
\begin{itemize}
\item sub-item
\item another sub-item
\end{itemize}
\item<3-> thirdly
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{A math frame}
\begin{theorem}[Pythagoras]
The square of the hypotenuse of a \alert{right} triangle is equal to the sum of the squares on the other two sides:
\[
a^2 + b^2 = c^2.
\]
\end{theorem}
\begin{proof}
Straightforward.
\end{proof}
\end{frame}
\begin{frame}{A math frame}{with plotting of math functions}
\begin{definition}[Weibull Random Variable]
A random variable is said to be \alert{Weibull distributed} with parameters $\delta,\beta$ and $\theta >0$, if its probability density function is given by: \vskip-0.5em
$$f(t)=\frac{\beta}{\theta} \left ( \frac{t-\delta}{\theta}\right)^{\beta-1} e^{-\left ( \frac{t-\delta}{\theta}\right)^{\beta}}, \quad t \ge 0 $$
\vskip-0.5em
The parameters are called: \\ \small
\qquad $\theta$ -- the scale parameter, $\beta$ -- the shape parameter, $\delta$ -- the location parameter.
\end{definition}
\centering%\qquad\qquad\qquad
\begin{tikzpicture}[font=\footnotesize,
declare function={weibullpdf(\x,\delta,\beta,\theta) = (( \x - \delta )/\theta)^(\beta-1) * exp( -((\x - \delta )/\theta)^\beta) *\beta /\theta ;}
]
\begin{axis}[clip=false, scale = 0.9, font=\scriptsize,
y post scale = 0.35,
axis lines=left,
enlargelimits=upper,
samples=50,
legend entries={$\delta=0 \ \ \beta=1 \quad \ \theta=1$, $\delta=0 \ \ \beta=1.5 \quad \!\!\theta=1$, $\delta=0 \ \ \beta=5 \quad \ \theta=1$},
xlabel style={at={(axis description cs:0.98,0.05)}, anchor=south},
xlabel=$x$,
ylabel style={at={(axis description cs:0.08,0.8)}, anchor=west},
ylabel=$f(x)$,
]
\addplot [smooth, very thick, domain=0:6, kugreen!60!black] {weibullpdf(x,0,1,1)};
\addplot [smooth, very thick, domain=0:6, kured] {weibullpdf(x,0,1.5,1)};
\addplot [smooth, very thick, domain=0:6, kublue] {weibullpdf(x,0, 5,1)};
\end{axis}
\end{tikzpicture}
\end{frame}
\begin{frame}
\frametitle{Environments}
\begin{definition}
A \textbf{prime number} (or a prime) is a natural number which has exactly two distinct natural number divisors: 1 and itself.
\end{definition}
\begin{exampleblock}{Example}
The first five prime numbers are $2$, $3$, $5$, $7$, and $11$.
\end{exampleblock}
\begin{alertblock}{Alert block}
Note that $1$ is not a prime number.
\end{alertblock}
\end{frame}
\begin{frame}{Using graphics}{with the help of the TikZ library}
\vskip-0.9em
\begin{exampleblock}{Exercise}
Compute $Var[{X}]$ when $X$ represents the dice-rolling experiment using the definitions above.
\end{exampleblock}
\smallskip
\qquad\begin{tikzpicture}[every node/.style={inner sep=1pt,outer sep=0}, xscale=2.2, scale=0.8]
\draw[thin](0.4, 0) -- (6.6,0);
\draw[thick] (3.5,-0.05) node[below, font=\scriptsize] {3.5} --++(0,1.7);
\foreach \x in {3,4}{
\draw[thin](\x,-0.05) node[below, font=\footnotesize] {\x} --++(0,0.5);
\draw[thin,latex-latex](3.5,0.3) --node[fill=white, font=\scriptsize]{$0.5$} (\x,0.3);
}
\foreach \x in {2,5}{
\draw[thin](\x,-0.05) node[below, font=\footnotesize] {\x} --++(0,1);
\draw[thin,latex-latex](3.5,0.8) --node[fill=white, font=\scriptsize]{$1.5$} (\x,0.8);
}
\foreach \x in {1,6}{
\draw[thin](\x,-0.05) node[below, font=\footnotesize] {\x} --++(0,1.5);
\draw[thin,latex-latex](3.5,1.3) --node[fill=white, font=\scriptsize]{$2.5$} (\x,1.3);
}
\end{tikzpicture}
\smallskip
\small
{
\begin{align*}
\pause
Var[{X}] &= E\left [{X-E\left [{X}\right]^2 }\right ] \\
& = \frac{1}{6}2.5^2 + \frac{1}{6}1.5^2 + \frac{1}{6}0.5^2 + \frac{1}{6}0.5^2 + \frac{1}{6}1.5^2 + \frac{1}{6}2.5^2 = 2.916667\\[8pt]
\pause
Var[{X}] &= E\left [{X-E\left [{X}\right ]^2}\right ] = E\left [{X^2}\right ]-E\left [{X}\right ]^2\\
& = \frac{1}{6}(1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2) - 3.5^2 = 2.916667
\end{align*}}
\end{frame}
\newcommand{\extractHTML}[1]{\extractcolorspecs{#1}{\model}{\mycolor} \convertcolorspec{\model}{\mycolor}{HTML}\printcol \printcol}
\newcommand{\extractRGB}[1]{\extractcolorspecs{#1}{\model}{\mycolor} \convertcolorspec{\model}{\mycolor}{RGB}\printcol \printcol}
\newcommand{\extractCMYK}[1]{\extractcolorspecs{#1}{\model}{\mycolor} \convertcolorspec{\model}{\mycolor}{cmyk}\printcol \printcol}
\newcommand{\colrow}[1]{{\color{#1}#1} & \extractRGB{#1} & \extractCMYK{#1} & \extractHTML{#1}}
\newcommand{\ccft}[3]{
\usebeamercolor{#1}
\definecolor{#2}{named}{fg}
\definecolor{#3}{named}{bg}
}
\ccft{block title}{myblock title fg}{myblock title bg}
\ccft{block body}{myblock body fg}{myblock body bg}
\ccft{block title alerted}{myblock title alerted fg}{myblock title alerted bg}
\ccft{palette secondary}{palette secondary fg}{palette secondary bg}
\begin{frame}{Color definitions}
\begin{center}
\vskip-2em\small
\begin{tabular}{cccc}
\toprule
\multicolumn{1}{c|}{\textsc{Color}} &
\multicolumn{1}{c}{\textsc{RGB}} &
\multicolumn{1}{c}{\textsc{CMYK}} &
\multicolumn{1}{c}{\textsc{HTML}}\\
\midrule
\colrow{structure.fg}\\
\colrow{structure.bg}\\
\colrow{alerted text.fg}\\
\colrow{example text.fg}\\
\colrow{normal text.fg}\\
\colrow{myblock title fg}\\
\colrow{myblock title bg}\\
\colrow{myblock body fg}\\
\colrow{myblock body bg}\\
\colrow{myblock title alerted fg}\\
\colrow{myblock title alerted bg}\\
\colrow{palette secondary fg}\\
\colrow{palette secondary bg}\\
\bottomrule
\end{tabular}
\end{center}
\end{frame}
\end{document}